What is the Least Common Multiple of 94073 and 94086?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 94073 and 94086 is 8850952278.
LCM(94073,94086) = 8850952278
Least Common Multiple of 94073 and 94086 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94073 and 94086, than apply into the LCM equation.
GCF(94073,94086) = 1
LCM(94073,94086) = ( 94073 × 94086) / 1
LCM(94073,94086) = 8850952278 / 1
LCM(94073,94086) = 8850952278
Least Common Multiple (LCM) of 94073 and 94086 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94073 and 94086. First we will calculate the prime factors of 94073 and 94086.
Prime Factorization of 94073
Prime factors of 94073 are 7, 89, 151. Prime factorization of 94073 in exponential form is:
94073 = 71 × 891 × 1511
Prime Factorization of 94086
Prime factors of 94086 are 2, 3, 5227. Prime factorization of 94086 in exponential form is:
94086 = 21 × 32 × 52271
Now multiplying the highest exponent prime factors to calculate the LCM of 94073 and 94086.
LCM(94073,94086) = 71 × 891 × 1511 × 21 × 32 × 52271
LCM(94073,94086) = 8850952278
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